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- Riemannian wavefield extrapolation:
- In rwe,
I extend one-way wavefield extrapolation to a general
coordinate framework which can be described using
Riemannian geometry.
Such natural coordinates allow for
accurate wave propagation in arbitrary directions
(95),
in contrast with conventional downward continuation which
favors waves propagating vertically.
A special case of Riemannian coordinates is represented
by ray coordinates obtained by ray tracing in a
smooth background medium.
This method can be used for imaging of steeply
dipping reflectors or overturning reflections.
- Angle-domain common image gathers:
- In adcig,
I present a method for constructing angle-domain
common image gathers
(reflectivity function of scattering angle)
from images obtained by wavefield extrapolation.
The method described in this thesis
operates in the image space, which enables
transformations between the angle and offset domains
without data remigration.
Since the transformation to the angle-domain is separated from the
migration itself,
this method can be used to construct angle gathers
for shot-geophone migration (94),
for shot-profile migration (78),
for converted waves (83), and
for reverse-time imaging (11).
The method can also be used for AVA studies
(90), for multiple suppression
after migration (96), or for
migration velocity analysis (wemva).
- Prestack Stolt residual migration:
- In storm,
I extend to the prestack domain the residual migration method
introduced by (102).
Residual migration produces images corresponding to velocities
described by a scalar ratio relative to the velocity of the
original migration (87).
The method is formulated in the Fourier domain, therefore
it is fast and robust. I use this residual migration method
for constructing image perturbations for wave-equation migration
velocity analysis (wemva).
- Wave-equation migration velocity analysis:
- In wemva,
I present the theory of migration velocity analysis using
wavefield extrapolation (88).
This velocity analysis method inherits the characteristics
of wavefield extrapolation, mainly robustness in presence
of large and sharp velocity contrasts, bandlimited
model sensitivity and multipathing.
The velocity updates are derived from image perturbations using
a linearized operator based on the first-order Born approximation.
The image perturbations are constructed based on focusing or
moveout information measured on angle-domain common image
gathers (adcig), using a linearized
version of prestack residual migration (storm).
- Examples:
- In example,
I present examples of wave-equation migration velocity analysis.
An important application is for subsalt imaging
(89), where ray-based methods often fail.
I demonstrate that wave-equation migration velocity analysis is
capable of updating velocity subsalt, since it inherits the
robustness and accuracy of the underlying wavefield extrapolation
technique.
I define prestack image perturbations based on
angle-domain common image gathers (adcig) and
residual migration (storm).
Another important application is for
velocity analysis using diffracted data (1).
In this application, I define image perturbations
based only on spatial focusing information obtained using
residual migration (storm).
Next: Riemannian wavefield extrapolation
Up: Introduction
Previous: Velocity estimation
Stanford Exploration Project
11/4/2004